Problem: Igor the analyst has adopted n little bunnies. As we all know, bunnies love carrots. Thus, Igor has bought a carrot to be shared between his bunnies. Igor wants to treat all the bunnies equally, and thus he wants to cut the carrot into n pieces of equal area. 

Formally, the carrot can be viewed as an isosceles triangle with base length equal to 1 and height equal to h. Igor wants to make n - 1 cuts parallel to the base to cut the carrot into n pieces. He wants to make sure that all n pieces have the same area. Can you help Igor determine where to cut the carrot so that each piece have equal area?

<image> Illustration to the first example.

Input

The first and only line of input contains two space-separated integers, n and h (2 ≤ n ≤ 1000, 1 ≤ h ≤ 105).

Output

The output should contain n - 1 real numbers x1, x2, ..., xn - 1. The number xi denotes that the i-th cut must be made xi units away from the apex of the carrot. In addition, 0 < x1 < x2 < ... < xn - 1 < h must hold. 

Your output will be considered correct if absolute or relative error of every number in your output doesn't exceed 10 - 6.

Formally, let your answer be a, and the jury's answer be b. Your answer is considered correct if <image>.

Examples

Input

3 2


Output

1.154700538379 1.632993161855


Input

2 100000


Output

70710.678118654752

Note

Definition of isosceles triangle: <https://en.wikipedia.org/wiki/Isosceles_triangle>.

Solution (in PYTHON3):

Solution:
# @Author: Lakshya Singh <target_x>
# @Date:   2020-01-14T22:28:02+05:30
# @Email:  lakshay.singh1108@gmail.com
# @Filename: 794B.py
# @Last modified by:   target_x
# @Last modified time: 2020-01-14T22:43:49+05:30

#  ______                      __              _  __
# /_  __/___ __________ ____  / /_            | |/ /
#  / / / __ `/ ___/ __ `/ _ \/ __/            |   /
# / / / /_/ / /  / /_/ /  __/ /_             /   |
# /_/  \__,_/_/   \__, /\___/\__/  ______    /_/|_|
#               /____/           /_____/

from sys import stdin, stdout
import math


def target_X():
    n, h = map(float, stdin.readline().split())
    n = int(n)
    h = h / math.sqrt(n)
    for x in range(1, n):
        h1 = h * math.sqrt(x)
        print(h1, end=' ')


if __name__ == "__main__":
    target_X()